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1 year ago

Simplify the expression. Rewrite using only positive exponents.

Mathematics

1 answer:

ivanzaharov [21]1 year ago

4 0

The simplification form of the provided expression is x¹⁸a³b³ option

(d) x¹⁸a³b³ is correct.

<h3>What is an integer exponent?</h3>

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The expression:

$= \rm (\dfrac{x^4a^2b^3}{x^{-2}ab^2})^3$

After using the integer exponent property:

$\rm =\dfrac{x^{12}a^6b^9x^6}{a^3b^6}$

= a³b³x¹⁸ Or

=x¹⁸a³b³

Thus, the simplification form of the provided expression is x¹⁸a³b³ option

(d) x¹⁸a³b³ is correct.

Learn more about the integer exponent here:

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Gnoma [55]

Answer:

Step-by-step explanation:

Problem One (left panel)

Question A

The y intercept happens when x = 0
That being said, the y intercept is 50. It was moving when the timing began.

Question B

The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2 miles / hour^2 (you have a slight acceleration.

Question C

60 = a + (n-1)d
60 = 50 + (n - 1)*2
10/2 = (n - 1)*2/2
5 = n - 1
6 = n

The way I have done it the domain is n from 1 to 6

Question 2 (Right Panel)

Question A

The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.

f(0) = ax + b
-3 = a*0) + b
b = - 3
So far what you have is
f(x) = ax - 3
f(-1) = a*(-1) - 3 but we know (f(-1)) = -6
- 6 = a(-1) - 3 add 3 to both sides
-6 +3 = a(-1) -3 + 3
-3 = a*(-1) Divide by - 1
a = 3
f(x) = 3x - 3 Answer for f(x)
The slope of f(x) = the coefficient in front of the x
f(x) has a slope of 3
g(x) has a slope of 4

Part B

f(x) has a y intercept of - 3
g(x) has a y intercept of -5
f(x) has the greater y intercept.
-3 > - 5

7 0

3 years ago

Jernel has to figure out the area of her square garage. she knows that one side of the garage is equal to the length of her rabb

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Answer: 100 square units.

Step-by-step explanation:

Given: Jernel has to figure out the area of her square garage.

She knows that one side of the garage is equal to the length of her rabbit pen.

Now, the length of the rabbit pen = 10 units

Then , the length of the garage will be 10 units

Now, Area of square = $\text{(side)}^2=10^2=100\text{units}^2$

Hence, the area of the garage = 100 square units.

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3 years ago

The length of the red line segment is 8 and the length of the blue line segment is 4. How long is the major axis of the eclipse?

liraira [26]

The major axis of the eclipse is 12 units long

The given parameters can be represented as:

$Red = 8$

$Blue = 4$

See attachment for illustration

To solve this question, we make use of the following theorem

The distance between a point and the foci sums up to the major axis

This translates to:

$Major\ axis = Red + Blue$

$Major\ axis = 8 + 4$

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2 years ago

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ss7ja [257]

Answer:

Assuming this is a linear problem, the equation would look like this:

C(m)=Mx

Step-by-step explanation:

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3 years ago

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kotegsom [21]

*edit

Answer:

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Step-by-step explanation:

you'd do 4 divided by 2 which is 2, then you'd do 10 divided by 2 which is 5. so you get 4/5.

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3 years ago

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